Finite Group DatabasebetaFinite Group Databasebeta| order | 3712 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C29×#433 ⋊ C2 |
| Sylow | C29 ⋊ #3121 |
370 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1856 |
Polycyclic presentation:
2^7,29|c^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^28,d^b=dg,f^c=fg,h^c=h^28424 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3712, 14741);